Hamiltonian Cycle Problem in Strong k-Quasi-Transitive Digraphs With Large Diameter
Let k be an integer with k ≥ 2. A digraph is k-quasi-transitive, if for any path x0x1... xk of length k, x0 and xk are adjacent. Let D be a strong k-quasi-transitive digraph with even k ≥ 4 and diameter at least k +2.
Wang Ruixia
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Hidden Hamiltonian Cycle Recovery via Linear Programming [PDF]
We introduce the problem of hidden Hamiltonian cycle recovery, where there is an unknown Hamiltonian cycle in an $n$-vertex complete graph that needs to be inferred from noisy edge measurements.
V. Bagaria +4 more
semanticscholar +1 more source
Looking for the Hardest Hamiltonian Cycle Problem Instances
: We use two evolutionary algorithms to make hard instances of the Hamiltonian cycle problem. Hardness, or fitness, is defined as the number of recursions required by Vandegriend-Culberson, the best known exact backtracking algorithm for the problem.
J. Sleegers, D. V. D. Berg
semanticscholar +1 more source
An Optimal XP Algorithm for Hamiltonian Cycle on Graphs of Bounded Clique-Width [PDF]
In this paper, we prove that, given a clique-width k-expression of an n-vertex graph, Hamiltonian Cycle can be solved in time nO(k)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
Benjamin Bergougnoux +2 more
semanticscholar +1 more source
Extending Complex Conjugate Control to Nonlinear Wave Energy Converters
This paper extends the concept of Complex Conjugate Control (CCC) of linear wave energy converters (WECs) to nonlinear WECs by designing optimal limit cycles with Hamiltonian Surface Shaping and Power Flow Control (HSSPFC).
David G. Wilson +4 more
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Hamiltonian cycles in polyhedral maps [PDF]
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Maity, Dipendu, Upadhyay, Ashish Kumar
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Enumerating Hamiltonian Cycles [PDF]
A dynamic programming method for enumerating hamiltonian cycles in arbitrary graphs is presented. The method is applied to grid graphs, king's graphs, triangular grids, and three-dimensional grid graphs, and results are obtained for larger cases than previously published.
openaire +4 more sources
Reducing the generalised Sudoku problem to the Hamiltonian cycle problem
The generalised Sudoku problem with N symbols is known to be NP-complete, and hence is equivalent to any other NP-complete problem, even for the standard restricted version where N is a perfect square.
Michael Haythorpe
doaj +1 more source
Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones
In this paper, we study the existence of limit cycles in continuous and discontinuous planar piecewise linear Hamiltonian differential system with two or three zones separated by straight lines and such that the linear systems that define the piecewise ...
Claudio Pessoa, Ronisio Ribeiro
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Random Walk in a N-Cube Without Hamiltonian Cycle to Chaotic Pseudorandom Number Generation: Theoretical and Practical Considerations [PDF]
Designing a pseudorandom number generator (PRNG) is a difficult and complex task. Many recent works have considered chaotic functions as the basis of built PRNGs: the quality of the output would indeed be an obvious consequence of some chaos properties ...
S. Contassot-Vivier +3 more
semanticscholar +1 more source

